Bulk and edge excitations of a $ν=1$ Hall ferromagnet

Details Bulk and edge excitations of a $ν=1$ Hall ferromagnet Bulk and edge excitations of a $ν=1$ Hall ferromagnet

2001-05-31

arxiv.org/abs/cond-mat/0105626v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

30 pages, plain TeX, no figures

Scientific paper

10.1103/PhysRevB.65.035320

In this article, we shall focus on the collective dynamics of the fermions in a $\nu = 1$ quantum Hall droplet. Specifically, we propose to look at the quantum Hall ferromagnet. In this system, the electron spins are ordered in the ground state due to the exchange part of the Coulomb interaction and the Pauli exclusion principle. The low energy excitations are ferromagnetic magnons. In order to obtain an effective Lagrangian for these magnons, we shall introduce bosonic collective coordinates in the Hilbert space of many-fermion systems. These collective coordinates describe a part of the fermionic Hilbert space. Using this technique, we shall interpret the magnons as bosonic collective excitations in the Hilbert space of the many-electron Hall system. Furthermore, by considering a Hall droplet of finite extent, we shall also obtain the effective Lagrangian governing the spin collective excitations at the edge of the sample.

Affiliated with

Also associated with

No associations

Rating

Bulk and edge excitations of a $ν=1$ Hall ferromagnet does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Bulk and edge excitations of a $ν=1$ Hall ferromagnet, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bulk and edge excitations of a $ν=1$ Hall ferromagnet will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-250553